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Simplifying (4y + -9)(3 + -1y) = 0 Reorder the terms: (-9 + 4y)(3 + -1y) = 0 Multiply (-9 + 4y) * (3 + -1y) (-9(3 + -1y) + 4y * (3 + -1y)) = 0 ((3 * -9 + -1y * -9) + 4y * (3 + -1y)) = 0 ((-27 + 9y) + 4y * (3 + -1y)) = 0 (-27 + 9y + (3 * 4y + -1y * 4y)) = 0 (-27 + 9y + (12y + -4y2)) = 0 Combine like terms: 9y + 12y = 21y (-27 + 21y + -4y2) = 0 Solving -27 + 21y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + y)(9 + -4y) = 0Subproblem 1
Set the factor '(-3 + y)' equal to zero and attempt to solve: Simplifying -3 + y = 0 Solving -3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y = 0 + 3 y = 0 + 3 Combine like terms: 0 + 3 = 3 y = 3 Simplifying y = 3Subproblem 2
Set the factor '(9 + -4y)' equal to zero and attempt to solve: Simplifying 9 + -4y = 0 Solving 9 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = 0 + -9 -4y = 0 + -9 Combine like terms: 0 + -9 = -9 -4y = -9 Divide each side by '-4'. y = 2.25 Simplifying y = 2.25Solution
y = {3, 2.25}
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